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In the formula A=1/2h•b solve for b

1 Answer

4 votes

hello

to solve this problem, we'll make b the subject of formula


a=(1)/(2)h* b

step 1

multiply both sides by 2

this is done so as to eliminate 1/2 on that side of the equation


\begin{gathered} a=(1)/(2)h* b \\ 2* a=2*((1)/(2)hb) \\ 2a=hb \end{gathered}

step 2

divide both sides by h

this done to make b the subject of formula


\begin{gathered} 2a=hb \\ \text{divide both sides by h} \\ (2a)/(h)=(hb)/(h) \\ b=(2a)/(h) \end{gathered}

therefore, b = 2a / h

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